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Finding the Third Proportional to 45,009 and 104,198

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Solution

The third proportional to 45,009 and 104,198 is: 241,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,009 : 104,198 = 104,198 : x
  2. Step 2: Convert to fraction form
    45,009/104,198 = 104,198/x
  3. Step 3: Cross multiply
    45,009x = 104,198 × 104,198
  4. Step 4: Simplify right side
    45,009x = 10,857,223,204
  5. Step 5: Solve for x
    x = 10,857,223,204/45,009
  6. Step 6: Final answer
    x = 241,223.38

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.